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Finding the Third Proportional to 100,234.13 and 216,138.38

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Solution

The third proportional to 100,234.13 and 216,138.38 is: 466,066.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,234.13 : 216,138.38 = 216,138.38 : x
  2. Step 2: Convert to fraction form
    100,234.13/216,138.38 = 216,138.38/x
  3. Step 3: Cross multiply
    100,234.13x = 216,138.38 × 216,138.38
  4. Step 4: Simplify right side
    100,234.13x = 46,715,797,147.64
  5. Step 5: Solve for x
    x = 46,715,797,147.64/100,234.13
  6. Step 6: Final answer
    x = 466,066.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.